Free Engineering Tool #034

Remaining Life from Vibration Trend

Estimate remaining useful life (RUL) based on vibration trending data. Project time to alarm and danger levels using linear, exponential, or power law growth models.

RUL Estimator Predictive Maintenance Trend Analysis
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Results

Remaining Time to Alarm
Remaining Time to Danger
Growth Rate
Growth Model
Vibration Increase

Projected Vibration Levels

⚠️ Confidence Note: This estimate assumes the current growth pattern continues unchanged. Actual remaining life depends on fault mechanism, operating conditions, load changes, and maintenance actions. Use as guidance for planning — not as a guarantee. More data points and consistent measurement conditions improve accuracy.

Linear Growth Model

Assumes vibration increases at a constant rate:

Linear model is appropriate for gradual wear processes like unbalance growth from erosion or buildup.

Exponential Growth Model

Assumes vibration growth rate is proportional to current level (damage accelerates):

Exponential model best represents bearing degradation and fatigue crack propagation where damage creates more damage.

Power Law Model

Generalized model that can represent both sub-linear and super-linear growth:

Power law is useful for mixed degradation modes. The exponent p determines growth behavior: p<1 is decelerating, p=1 is linear, p>1 is accelerating.

Which Model to Choose?

ModelBest ForBehavior
LinearGradual wear, erosion, buildupConstant rate of change
ExponentialBearing damage, crack growthAccelerating — most conservative
Power LawMixed/unknown mechanismsFlexible — adapts to data shape

Practical Example

Example — Pump Bearing Degradation

Given: V_baseline = 2.5 mm/s, V_current = 4.2 mm/s, elapsed = 90 days, alarm = 7.1 mm/s

Exponential model:

k = ln(4.2 / 2.5) / 90 = ln(1.68) / 90 = 0.5188 / 90 = 0.00577 /day

Time to alarm: t_alarm = ln(7.1 / 2.5) / 0.00577 = 1.0438 / 0.00577 = 181 days from baseline

Remaining = 181 – 90 = 91 days from now to alarm level

P-F Interval: The time between detectable fault initiation (P) and functional failure (F) determines how much warning you get. For rolling element bearings, the P-F interval is typically 1–9 months depending on speed, load, and lubrication conditions.

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